If the table below represents a probability model based on observed frequencies, what is the value of x ?
Y C A R E S
P(Y) 0.25 0.18 0.30 0.17 x
Since probabilities must sum up to 1, we can calculate the value of x by setting the total sum of probabilities equal to 1:
0.25 + 0.18 + 0.30 + 0.17 + x = 1
0.9 + x = 1
x = 1 - 0.9
x = 0.10
Therefore, the value of x is 0.10.